27976106312 has 192 divisors, whose sum is σ = 69905203200. Its totient is φ = 10168778880.

The previous prime is 27976106269. The next prime is 27976106329. The reversal of 27976106312 is 21360167972.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73044473 + ... + 73044855.

It is an arithmetic number, because the mean of its divisors is an integer number (364089600).

Almost surely, 2^27976106312 is an apocalyptic number.

27976106312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27976106312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34952601600).

27976106312 is an abundant number, since it is smaller than the sum of its proper divisors (41929096888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27976106312 is a wasteful number, since it uses less digits than its factorization.

27976106312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 27976106312 in words is "twenty-seven billion, nine hundred seventy-six million, one hundred six thousand, three hundred twelve".